Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order
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Publication:6114279
DOI10.2298/aadm220712011gOpenAlexW4366522982MaRDI QIDQ6114279
Publication date: 11 July 2023
Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/aadm220712011g
generating functionsexponential Euler splinesApostol-Euler numbers and polynomialsbeta-type rational functions
Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Spline approximation (41A15)
Cites Work
- Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator
- Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
- Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers
- A new approach to Euler splines
- Beta-type polynomials and their generating functions
- Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
- Reduction and duality of the generalized Hurwitz-Lerch zetas
- Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
- Complete sum of products of (h,q)-extension of Euler polynomials and numbers
- New classes of recurrence relations involving hyperbolic functions, special numbers and polynomials
- Revisit of identities for Apostol-Euler and Frobenius-Euler numbers arising from differential equation
- Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals
- New families of special numbers for computing negative order Euler numbers and related numbers and polynomials
- Combinatorial Identities for Stirling Numbers
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